Question

1. modeling with mathematics write and solve an inequality that represents how many $20 bills you can withdraw from the account without going below the minimum balance. (see example 4.) your current balance is $320.00 the minimum balance is $100.00. would you like to make another transaction?

Explanation:

Step1: Let the number of $20 bills be $x$.

The amount withdrawn is $20x$.

Step2: Set up the inequality.

The current balance is $320$. After withdrawal, the balance should be at least the minimum balance of $100$. So, $320 - 20x\geq100$.

Step3: Solve the inequality for $x$.

Subtract 320 from both sides: $- 20x\geq100 - 320$, which simplifies to $-20x\geq - 220$.
Divide both sides by - 20. When dividing an inequality by a negative number, the direction of the inequality sign changes. So, $x\leq\frac{-220}{-20}$, which gives $x\leq11$.

Answer:

The inequality is $320 - 20x\geq100$ and the solution is $x\leq11$, meaning you can withdraw at most 11 $20 - dollar bills.